Lecture

Group Homomorphisms: Kernels, Images, and Normal Subgroups

Description

This lecture covers group homomorphisms, focusing on the concepts of kernels and images, as well as normal subgroups. The dihedral group D_n is introduced as an example, along with discussions on the elliptic curve group and the Lenstra factorization algorithm. The presentation progresses through examples of subgroups in D_n, exploring the structure of cosets with respect to normal subgroups and the formation of quotient groups.

Instructor

ad enim sunt

Non eu minim laborum adipisicing minim qui laboris consequat aliqua tempor aliquip voluptate dolore commodo. Non mollit enim velit dolore esse cupidatat irure sunt. Esse nulla nostrud labore est nulla exercitation.

Official source

https://mediaspace.epfl.ch/media/0_c94trcky

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Algebra: Representation theory, Abstract algebra

Mathematical logic: Set theory

Geometry: Euclidean geometry

Related lectures (174)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.